EXISTENCE AND CONCENTRATION OF SOLUTIONS FOR A p-LAPLACE EQUATION WITH POTENTIALS IN RN

被引：0
|
作者：
Wu, Mingzhu [1 ]
Yang, Zuodong [1 ,2 ]
机构：
[1] Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210046, Jiangsu, Peoples R China
[2] Nanjing Normal Univ, Coll Zhongbei, Nanjing 210046, Jiangsu, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年
基金：
中国国家自然科学基金;
关键词：
Potentials; critical point theory; concentration; existence; concentration-compactness; p-Laplace;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the p-Laplace equation with Potentials -div(vertical bar del u vertical bar(p-2)del u) + lambda V (x)vertical bar u vertical bar(p-2)u = vertical bar u vertical bar(q-2)u, u is an element of W-1,W-p (R-N), x is an element of R-N where 2 <= p, p < q < p*. Using a concentration-compactness principle from critical point theory, we obtain existence, multiplicity solutions, and concentration of solutions.
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页数：11
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